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Definition--Triangle Concepts--5-12-13 Right Triangle

5-12-13 Right Triangle

5-12-13 Right Triangle

Topic

Triangles

Definition

A 5-12-13 right triangle is a right triangle with side lengths in the ratio 5:12:13.

Description

The 5-12-13 right triangle is another example of a Pythagorean triple, where the sides satisfy the Pythagorean theorem:

52 + 122 = 132

This triangle is useful in various mathematical problems and real-world applications due to its simple integer side lengths.

In construction and design, the 5-12-13 triangle can be used to create right angles and ensure structural integrity. For example, if a builder needs to confirm a right angle, they can measure 5 units along one side, 12 units along the adjacent side, and if the diagonal measures 13 units, they have a right angle.

Understanding the 5-12-13 triangle is important in math education as it provides a clear example of the Pythagorean theorem and helps students understand the properties of right triangles. By working with this triangle, students can develop a deeper understanding of geometric principles and their practical applications.

For a complete collection of terms related to functions and relations click on this link: Triangles Collection

Common Core Standards CCSS.MATH.CONTENT.4.G.A.1, CCSS.MATH.CONTENT.7.G.A.2, CCSS.MATH.CONTENT.4.G.A.2, CCSS.MATH.CONTENT.6.G.A.1
Grade Range 4 - 8
Curriculum Nodes Geometry
    • Triangles
        • Definition of a Triangle
Copyright Year 2013
Keywords triangle, defnitions, glossary